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Thermal Analysis of Automotive Disc Brake Using FFT-FEM

FFT-FEM을 이용한 자동차용 디스크 브레이크의 열 해석

  • Choi, Ji-Hoon (Dept. of Mechanical Engineering, Korea Advanced Institute of Science and Technology) ;
  • Kim, Do-Hyung (Dept. of Aerospace Engineering, Korea Advanced Institute of Science and Technology) ;
  • Lee, In
  • 최지훈 (한국과학기술원 기계공학과 항공우주전공) ;
  • 김도형 (한국과학기술원 기계공학과 항공우주전공) ;
  • 이인 (한국과학기술원 기계공학과)
  • Published : 2001.08.01

Abstract

Transient thermal analysis of a three-dimensional axisymmetric automotive disk brake is presented in this paper. Temperature fields are obtained using a hybrid FFT-FEM scheme that combines Fourier transform techniques and finite element method. The use of a fast Fourier transform algorithm can avoid singularity problems and lead to inexpensive computing time. The transformed problem is solved with finite element scheme for each frequency domain. Inverse transforms are then performed for time domain solution. Numerical examples are presented for validation tests. Comparisons with analytical results show very good agreement. Also, a 3-D simulation, based upon an automotive brake disk model is performed.

Keywords

References

  1. Barber, J. R., 1967, 'The Influence of Thermal Expansion on the Fraction and Wear Process,' Wear, Vol. 10, pp. 155-159 https://doi.org/10.1016/0043-1648(67)90087-7
  2. Barber, J. R., 1969, 'Themoelastic Instabilities in the Sliding of Conforming Solids,' Proc. Roy. Soc. Series A312, pp. 381-394
  3. Dow, T. A. and Burton, R. A., 1972, 'Thermoelastic Instability of Sliding Contact in the Absence of Wear,' Wear, Vol. 19, pp. 315-328 https://doi.org/10.1016/0043-1648(72)90123-8
  4. Lee, K. and Barber, J. R., 1993, 'Frictionally Excited Thermoelastic Instability in Automotive Disk Brakes,' ASME Journal of Tribology, Vol. 115, pp. 607-614
  5. Du, Shuqin, Zagrodzki, P., Barber, J. R. and Hulbert, G. M., 1997, 'Finite Element Analysis of Frictionally Excited Thermoelastic Instability,' Journal of Thermal Stresses, Vol. 20, No. 2, pp. 185-201 https://doi.org/10.1080/01495739708956098
  6. 여태인, 1998, '미끄럼 마찰시 열탄성 접촉의 불안정성에 대한 유한요소해석,' 대한기계학회논문집(A), 제 22 권, 제 7 호, pp. 1185-1192
  7. Floquet, A. and Dubourg, M. C., 1994, 'Nonaxisymmetric Effects for Three-Dimensional Analysis of a Brake,' ASME Journal of Tribology, Vol. 16, pp. 401-408
  8. Floquet, A. and Dubourg, M. C., 1996, 'Realistic Braking Operation Simulation of Ventilated Disk Brakes,' ASME Journal of Tribology, Vol. 118, pp. 466-472
  9. 김청균, 성부용, 1998, '벤틸레이티드 디스크 브레이크의 열적특성에 관한 수치해석,' 한국윤활학회지, 제 14 권, 제 1 호, pp. 37-44
  10. Ozisik, N. M., 1980, Heat Conduction, Wiley, New York
  11. Ju, Y. and Farris, T. N., 1997, 'FFT Thermoelastic Solutions for Moving Heat Sources,' ASME Journal of Tribology, Vol. 119, pp. 156-162
  12. 손현우, 1995, '탄소/탄소 복합재 브레이크 디스크의 열탄성 연구,' 한국과학기술원 박사학위논문
  13. Kao, T. K., Richmand, J. W. and Douarre, A., 2000, 'Brake Disc Hot Spotting and Thermal Judder: An Experimental and Finite Element Study,' Int. J. of Vehicle Design, Vol. 23, No. 3/4, pp. 276-296 https://doi.org/10.1504/IJVD.2000.001896
  14. Du, Shuqin and Fash, J. W., 2000, 'Finite Element Analysis of Frictionally Excited Thermoelastic Instability in 3D Annular Disk,' Int. J. of Vehicle Design, Vol. 23, No. 3/4, pp. 203-217 https://doi.org/10.1504/IJVD.2000.001892